A zinc slab weighing 23.50 g was shaped into a square sheet with an edge length of 21.5 cm. If the density of zinc is 7.13 g/cm³, determine the thickness of the sheet (in cm).

A fullerene is an allotrope of carbon whose molecule consists of carbon atoms connected by single and double bonds so as to form a closed structure, with fused rings of five to seven atoms. 

Buckminsterfullerene is a type of fullerene that has a density of 1.65 g/cm³. The diameter of one molecule 1.1 nm. Calculate the mass of one molecule of buckminsterfullerene.

Find the radius of a nickel sphere (in mm) with a mass of 110 g.

Determine the number of 1-cm squares required to construct a square that is 1.5 m on each side.

Engineers are creating rolls of silver foil with a width of 430 mm and thickness of 0.012 mm. Using 1.00 kg of silver, determine the maximum length (in m) of silver foil that can be molded.

A non-reactive and non-dissolvable material only floats on the surface of water if it has a density of less than that of water (1.0 g/mL). Determine if a spherical ball with a 0.65 cm radius and 3.7 g weight will float or sink in water. (Note: Volume of a sphere = 4/3πr³.)

During a heist, thieves plan to replace a cylinder of titanium placed in a weight-sensitive pedestal with a cylinder of iron. The cylinder of titanium has a height of 20 cm and a radius of 5 cm. What is the required volume of the iron cylinder to prevent setting off the alarm? The density of titanium is 4.51 g/cm³ and the density of iron is 7.87 g/cm³.